Question

ABC is an isosceles triangle with AB = AC. Draw AP parallel to BC to show that angle B = angle C.
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Answer 1

Question:

ABC is an isosceles triangle with AB = AC. Draw AP parallel to BC to show that angle B = angle C.

Given:

Since △ ABC is isosceles

We know AB = AC

Given that AP is parallel to AC ,

So,  ∠APB = ∠APC = 90°

To prove: ∠B = ∠C

To note

My symbols or letter may differ as i dont have a exact copy of your triangle.

Answer:

∠APB = ∠APC = 90°